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Finding the Fourth Proportional to 555.84, 766.08 and 400.32

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Solution

The fourth proportional to 555.84, 766.08 and 400.32 is: 551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.84 : 766.08 = 400.32 : x
  2. Step 2: Convert to fraction form
    555.84/766.08 = 400.32/x
  3. Step 3: Cross multiply
    555.84x = 766.08 × 400.32
  4. Step 4: Simplify right side
    555.84x = 306,677.15
  5. Step 5: Solve for x
    x = 306,677.15/555.84
  6. Step 6: Final answer
    x = 551.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.